Question

What is the value of 9cot² θ − 9cosec² θ? 

Answer 1

We have, 

`9 cot^2 θ-9 cosec^2θ= 9(cot ^2θ-cosec^2 θ) ` 

                               =` -9(cosec ^2θ-cot θ)` 

We know that,   `cosec ^2 θ-cot ^2 θ-1` 

Therefore, 

\[9 \cot^2 \theta - 9 {cosec}^2 \theta = - 9\]